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Solutions to a nonlinear Dirac-Maxwell system: from periodic waves to soliton-like waves

文献类型：期刊论文

作者Pan, Chen1,2; Yanheng, Ding1,2; Hua-Yang, Wang1,2
刊名NONLINEARITY
出版日期2022-12-01
卷号35期号:12页码:6422-6452
关键词Dirac-Maxwell system variational methods periodic solutions soliton-like solutions ground states
ISSN号0951-7715
DOI10.1088/1361-6544/ac9a2d
英文摘要Using variational methods, we study the existence of stationary solutions to a periodic nonlinear Dirac-Maxwell system. Firstly, we prove the existence of n-periodic solutions to the system for all positive integers n. Then we use the concentration-compactness argument and the periodic approximation method for obtaining soliton-like solutions. We also investigate the existence of periodic ground states and soliton-like ground states, as well as their connection. Besides, results for the regularity of solutions and decay rate of the soliton-like solutions are given.
资助项目National Natural Science Foundation of China ; [11871242] ; [12031015] ; [12271508]
WOS研究方向Mathematics ; Physics
语种英语
WOS记录号WOS:000880811500001
出版者IOP Publishing Ltd
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60668]  
专题中国科学院数学与系统科学研究院
通讯作者Pan, Chen; Yanheng, Ding; Hua-Yang, Wang
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714		 Pan, Chen,Yanheng, Ding,Hua-Yang, Wang. Solutions to a nonlinear Dirac-Maxwell system: from periodic waves to soliton-like waves[J]. NONLINEARITY,2022,35(12):6422-6452.
APA Pan, Chen,Yanheng, Ding,&Hua-Yang, Wang.(2022).Solutions to a nonlinear Dirac-Maxwell system: from periodic waves to soliton-like waves.NONLINEARITY,35(12),6422-6452.
MLA Pan, Chen,et al."Solutions to a nonlinear Dirac-Maxwell system: from periodic waves to soliton-like waves".NONLINEARITY 35.12(2022):6422-6452.

入库方式： OAI收割

来源：数学与系统科学研究院

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